How much longer is 3 meters than 3 yards?
Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not correct. Find the correct answer.
The city of Jasper has a water tower that holds 1,325,000 gallons of water. Express this number in scientific notation.
A)
1.325 x 10 to the -6th power
B)
1.325 x 10 to the 6th power
C)
13.25 x 10 to the 5th power
D)
132.5 x 10 to the 4th power
Solve for n.
25n−3=5n+8
the n-3 and n+8 are powers
Final answer:
The equation 25n⁻³ = 5n⁺⁸ suggests an incorrect use of exponents, as no solution exists if we assume the bases should be the same. However, if the bases are 25 and 5, after simplifying, we find that the solution is n = 14.
Explanation:
To solve the equation 25n⁻³ = 5n⁺⁸, we need to use properties of exponents and logarithms. Here are the steps:
Assuming the bases are the same and only the exponents are different, equate the exponents: n - 3 = n + 8.This implies that no solution exists because once the bases are the same, the exponents on both sides must be equal for the equation to hold true, but here they are not.Alternatively, if 25 and 5 are the bases, we can rewrite the equation as (52)n-3 = 5n+8, then applying properties of exponents gives us 52n-6 = 5n+8. Equating the exponents yields 2n - 6 = n + 8, which we can solve for n.
Subtract n from both sides: n - 6 = 8.Add 6 to both sides to isolate n: n = 14.Examine the graph.
Select EACH interval where the graph is decreasing.
A) -4 < x < -2
B) 2 < x < 3
C) -1 < x < 1
D) 3 < x < 4
According to the graph, the function is decreasing on these following intervals:
A) -4 < x < -2 B) 2 < x < 3D) 3 < x < 4On a graph:
On intervals in which the function points upwards, it is increasing.On intervals in which the function points downwards, it is decreasing.In this problem, for options A, B and D, the function points downwards over the entire intervals, hence it is decreasing, and these options are correct.
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A sticker costs 15 cents and a packet of 8 similar stickers cost $1. Clement buys 37 stickers. What is the least amount of money that Clement spends on stickers
URGENT PLZ HELP
Clement should buy 4 packets of 8 stickers and 5 individual stickers to minimize cost, spending a total of $4.75.
The student asked how much money Clement will spend on 37 stickers given the individual sticker price and the packet price. We can calculate the least amount of money Clement can spend by determining the number of packets and individual stickers he should buy.
The price of one sticker is $0.15, and a packet of 8 stickers costs $1.00. To get the best value, Clement should buy as many packets as possible. Since 37 is not divisible by 8, the closest multiple of 8 is 32 (which is 8 stickers in 4 packets), so he will buy 4 packets and then 5 additional individual stickers.
The cost of 4 packets is 4 packets times $1.00/packet = $4.00.
The cost of 5 individual stickers is 5 stickers times $0.15/sticker = $0.75.
The least amount Clement will spend on 37 stickers is the total cost of packets plus individual stickers, which is $4.00 + $0.75 = $4.75.
Fin each unit rate. Determine which is lower.
Ingredient C: 1/4 cup for 2/3 serving
Ingredient D: 1/3 cup for 3/4 serving
The rate of each ingredient is required.
Rate of ingredient C is lower.
The number of cups is [tex]\dfrac{1}{4}[/tex]
The number of servings is [tex]\dfrac{2}{3}[/tex]
The rate for ingredient C is
[tex]\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}\\ =\dfrac{1}{4}\times \dfrac{3}{2}\\ =\dfrac{3}{8}=0.375\ \text{cups per serving}[/tex]
The number of cups is [tex]\dfrac{1}{3}[/tex]
The number of servings is [tex]\dfrac{3}{4}[/tex]
The rate for ingredient D is
[tex]\dfrac{\dfrac{1}{3}}{\dfrac{3}{4}}\\ =\dfrac{1}{3}\times \dfrac{4}{3}\\ =\dfrac{4}{9}=0.44\ \text{cups per serving}[/tex]
Rate of ingredient C is lower.
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What is the pattern for n times 3 plus 1
Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in interest on the account. If no other money was deposited into or withdrawn from the account, how much was his initial deposit?
we know that
The simple interest formula is equal to
[tex]I=Prt[/tex]
where
P is the Principal amount of money to be invested
I is the amount of money in interest
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=2\ years\\ I=\$14.65\\r=0.025[/tex]
substitute in the formula above and solve for P
[tex]14.65=P(0.025)(2)[/tex]
[tex]P=14.65/[(0.025)(2)][/tex]
[tex]P=\$293[/tex]
therefore
the answer is
[tex]\$293[/tex]
Solve the quadratic equation
3x2 - 14x - 5 = 0
(the 2 is meant to be squared)
A) x = -3, and x = 5
B) x = 3, and x = -5
Eliminate
C) x = -
1
3
, and x = 5
D) x =
1
3
, and x = -5
(and the spaces between the numbers at the bottom of the choices r numbers)
PLS HELP
PLS!!
Find the reciprocal of 7\8
The fraction of the given rational number 7/8 is 8/7.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
It can be written in the form of p : q, which is equivalent to p / q.
The reciprocal of a fraction is defined as 1/fraction.
The given rational number is :
7/8
The reciprocal of it is written as,
1/(7/8) = 8/7
Hence,
The reciprocal of 7/8 is equal to 8/7.
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The reciprocal of 7/8 is 8/7, which is found by flipping the numerator and denominator of the original fraction.
This question demands basic understanding of fractions and reciprocals along with the related concepts.
To find the reciprocal of a fraction, you simply flip the numerator and denominator. In this case, the reciprocal of 7/8 is 8/7. When we cross multiplying both sides, we are actually finding a value that can prove the two fractions are equivalent.
Multiplication and division come into play when we think of a reciprocal, which is essentially the result of dividing 1 by the number or flipping the fraction.
Knowing the reciprocal concept helps in various areas like simplifying complex fractions or dividing fractions, where you multiply by the reciprocal.
Therefore, as per the above explaination, the correct answer is 8/7.
If 3/4 gallon of paint covers 1/3 of the wall, then how much paint is needed for the entire wall?
The paint needed for the entire wall is 9/4 gallons.
Given:
The 3/4 gallons of paint are required to cover 1/3 portion of the wall.
To find:
The paint needed for the entire wall.
Solution:
The volume of the paint required to cover 1/3 portion of wall = 3/4
The volume of paint required to cover the entire wall:
[tex]=\frac{3}{4}\times \frac{3}{1}\\\\=\frac{9}{4} gallon[/tex]
The paint needed for the entire wall is 9/4 gallons.
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john and george raked 7/8 of the yard john raked 3/4 of the amount what part of the yard did george rake
I need to draw a picture to show 26 divided by3
What is the highest unit price per kazoo if 25 are $10, 50 are $18.50 and 80 are $27.20
Answer:
$0.34
Step-by-step explanation:
John says that if one side of an inequality is 0, you don't have to reverse the inequality symbol when you multiply or divide both sides by a negative number. Find an inequality that you can use to disprove John's statement. Explain your thinking.
find the area and perimeter of the shape below. Help plzzz.
what time what equal 27
Answer:
boi do you know your multiplication tables!?
Step-by-step explanation:
1 times 27
3 times 9
that's it
A particular amusement park ride will make 156 revolution in 180 seconds. At this rate, how many revolutions will it make in 2 minutes?
rewrite the interval 11-20 using inequalities
2.5 to the nearest tenth
What pattern do you notice in the fractions that are equivalent to 1? Following this pattern how would you represent ninths as one whole
Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest. If no money was deposited into or withdrawn from the account, what was the annual interest rate? Enter your answer in the box.
Answer:
8.5%✅
Step-by-step explanation:
I took a K12 2.08 Quiz: Simple Interest, so these are confirmed correct answers on my side, it could be different for other platforms.
An account with an initial balance of $5000 earns 5% interest for 3.5 years. What is the ending balance?
Enter your answer in the box
$5875
Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest. No money was deposited into or withdrawn from the account. What was the annual interest rate?
Enter your answer in the box.
8.5%✅
Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closing the account. No money was deposited into or withdrawn from the account.
How many years was the money in the account?
Round your answer to the nearest whole year.
Enter your answer in the box.
4 years✅
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after 3 years?
Round your answer to the nearest cent. Enter your answer in the box.
$329.18✅
Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in interest on the account. No other money was deposited into or withdrawn from the account. How much was her initial deposit?
Enter your answer in the box.
$160✅
Have a wonderful day, and hope it helped.
the Marriott rivercenter in San Antonio Texas has a main roof height of 441 feet. with the additional height of antennas the structure is 546 feet tall. What is the height of the antennas
The height of the antennas on the Marriott River center is 105 feet, which is calculated by subtracting the main roof height (441 feet) from the total structure height (546 feet).
To calculate the height of the antennas on the Marriott River center in San Antonio, Texas, we need to subtract the main roof height from the total structure height. The main roof height is reported as 441 feet, while the overall structure height, including antennas, is 546 feet.
Here's the step-by-step calculation:
Write down the total structure height: 546 feet.Write down the main roof height: 441 feet.Subtract the main roof height from the total structure height to get the antenna height: 546 feet - 441 feet = 105 feet.Thus, the height of the antennas is 105 feet.
A fruit drink company tested a new flavor.In a test 22% of the people taking part liked the new flavor. If 33 people liked the new flavor, how many people took the test
a gazelle can jump over a hundred five feet in a single jump how many yards is that
how many 1/4 teaspoon doses are in 7/8 teaspoon of medicine
what is y x 6 for y =2/3
Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes, and a watermelon that weighed 6.78 pounds. What is the total weight, in pounds, of the fruit that Shawn bought last week?
Total weight, in pounds Shawn bought is 10.54 pounds
Given that;
Amount of banana bought by Shawn = 2.26 pound
Amount of grapes bought by Shawn = 1.5 pound
Amount of watermelon bought by Shawn = 6.78 pound
Find:
Total weight, in pounds Shawn bought
Computation:
Total weight, in pounds Shawn bought = Weight of banana + Weight of grapes + Weight of watermelon
Total weight, in pounds Shawn bought = 2.26 + 1.5 + 6.78
Total weight, in pounds Shawn bought = 10.54 pounds
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A new pencil weighs 25 grams. After the pencil has been used for a while, it weighs 2 decagrams. How many grams of the pencil have been used up. plz explain how to solve.